(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

(D) EACH statement ALONE is sufficient.

(E) Statements (1) and (2) TOGETHER are NOT sufficient.

Explanation:

The equation of a straight line in the xy-plane is generally given by y= mx + c, where m is the slope and c is the y-interceptof the line. The question asks you to find the x-intercept of line L1, that is, the value of x for which y = 0. If y = 0, then mx + c = 0 and x = .

So, to find the x - intercept, you need to know the y - intercept, c, and the slope of the line, m.

Statement (1):

This tells you the y - intercept, c, only but not the slope of the line, m.

Statement (1) ALONE is NOT sufficient.

Statement (2):

This tells you the slope of the line, m, only but not the y - intercept.

Statement (2) ALONE is NOT sufficient.

BOTH statements TOGETHER:

Together, the two statements tell you both the slope m and the y - intercept, c. So the two statements provide all the required information to calculate the x - intercept.

Note, that you do not actually have to calculate the x - intercept, as soon as you know that you have all the information needed to do so you can answer the question.

BOTH statements TOGETHER are sufficient.

The correct answer is C.

Question 2.

It is known that b and c are positive integers. What does b − c equal?

(1) 2b5c = 800

(2) 5b = 125(5c)

(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

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